75 citations · 484 across the 32 of their papers we have counts for
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math.AP2019★ 1 cited
Strichartz estimates and Fourier restriction theorems on the Heisenberg group
Hajer Bahouri, Davide Barilari, Isabelle Gallagher
This paper is dedicated to the proof of Strichartz estimates on the Heisenberg group for the linear Schrödinger and wave equations involving the sublaplacian. The Sc…
math.DG2019★ 1 cited
On sub-Riemannian geodesic curvature in dimension three
Davide Barilari, Mathieu Kohli
We introduce a notion of geodesic curvature for a smooth horizontal curve in a three-dimensional contact sub-Riemannian manifold, measuring how much a horizontal curve is…
math.DG2019★ 6 cited
Bakry-Émery curvature and model spaces in sub-Riemannian geometry
Davide Barilari, Luca Rizzi
We prove comparison theorems for the sub-Riemannian distortion coefficients appearing in interpolation inequalities. These results, which are equivalent to a sub-Laplacian comparis…